\(p\)-regular nonlinear dynamics

DOI10.1134/S1064562414010335zbMath1309.34071MaRDI QIDQ5891470

Beata Medak, Alexey A. Tret'yakov

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic solutiondifferential equationbifurcation pointperiodic problem\(p\)-regularity theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Related Items (1)

Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem

Cites Work

• Classification and unfoldings of degenerate Hopf bifurcations
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• The Hopf bifurcation theorem in infinite dimensions
• Hopf bifurcation at multiple eigenvalues
• Factor-analysis of nonlinear mappings: \(p\)-regularity theory
• Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations

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